Ataxi company charges $4.00 for the first mile (or part of a mile) and 80 cents for each succeeding tenth of a mile (or part). express the cost c (in dollars) of a ride as a piecewise defined function of the distance x traveled (in miles) for 0 < x ≤ 2.

The piecewise function is:

Step-by-step explanation:

A piecewise function is a function that is defined in multiple intervals.

In the first interval:

The problem states that a taxi company charges $4.00 for the first mile (or part of a mile).

x is the number of miles. So

If .

Second interval:

Here, the cost is defined by a linear function in the following format:

In which is the initial price and r is the price paid per mile.

The problem states that each succeeding tenth of a mile costs 80 cents. So

we have the following rule of three.

1 mile - r dollars

0.1miles - 0.8 dollars

So, we have

Piecewise function:

The piecewise function is:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

range is infinite on both x and y axis positive and negative

step-by-step explanation: